details/L11a294_1_2eb7f89b.json

Multivariable Alexander polynomial

ΔL
2*A1^(3/2)*A2^(1/2) - 2*A1^(3/2)*A2^(-1/2) + A1^(3/2)*A2^(-3/2) + 2*A1^(1/2)*A2^(3/2) - 4*A1^(1/2)*A2^(1/2) + 5*A1^(1/2)*A2^(-1/2) - 3*A1^(1/2)*A2^(-3/2) + A1^(1/2)*A2^(-5/2) + A1^(-1/2)*A2^(5/2) - 3*A1^(-1/2)*A2^(3/2) + 5*A1^(-1/2)*A2^(1/2) - 4*A1^(-1/2)*A2^(-1/2) + 2*A1^(-1/2)*A2^(-3/2) + A1^(-3/2)*A2^(3/2) - 2*A1^(-3/2)*A2^(1/2) + 2*A1^(-3/2)*A2^(-1/2)

Warning: the A1, A2, … basis used for the HFL and Alexander data might not match the x1, x2, … basis used for FL.

Newton Polygon of Alexander-202-202A1A2

Dual Thurston polytope

VertexDual to fibered face
(-3, -1) no
(1, -5) yes
(3, -3) yes
(3, 1) no
(-1, 5) yes
(-3, 3) yes
Dual Thurston polygon05-505h1h2

HFL polytope

Poincaré polynomial
2*m^(-6)*A1^(-2)*A2^(-1) + 2*m^(-6)*A1^(-1)*A2^(-2) + m^(-6)*A2^(-3) + 4*m^(-5)*A1^(-2) + 8*m^(-5)*A1^(-1)*A2^(-1) + 6*m^(-5)*A2^(-2) + m^(-5)*A1*A2^(-3) + 3*m^(-4)*A1^(-2)*A2 + 13*m^(-4)*A1^(-1) + 14*m^(-4)*A2^(-1) + 5*m^(-4)*A1*A2^(-2) + m^(-3)*A1^(-2)*A2^2 + 11*m^(-3)*A1^(-1)*A2 + 18*m^(-3) + 11*m^(-3)*A1*A2^(-1) + m^(-3)*A1^2*A2^(-2) + 5*m^(-2)*A1^(-1)*A2^2 + 14*m^(-2)*A2 + 13*m^(-2)*A1 + 3*m^(-2)*A1^2*A2^(-1) + m^(-1)*A1^(-1)*A2^3 + 6*m^(-1)*A2^2 + 8*m^(-1)*A1*A2 + 4*m^(-1)*A1^2 + A2^3 + 2*A1*A2^2 + 2*A1^2*A2
VertexMaslovRank
(-2, -1)-62
(0, -3)-61
(1, -3)-51
(2, -2)-31
(2, 1)02
(0, 3)01
(-1, 3)-11
(-2, 2)-31
HFL polytope-20205A1A2

Record

FL/HFL Links

orderOption(int) 1038
namestring L11a294{1}
statusstring success
slugstring L11a294_1_2eb7f89b
result_filestring details/L11a294_1_2eb7f89b.json
complexity_scoreOption(int) 242
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 160
wall_secondsOption(float) 0.003541
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 27
vertex_countOption(int) 8
fibered_vertex_countOption(int) 4
polytope_statusstring computed
alexander_support_sizeOption(int) 16
alexander_vertex_countOption(int) 6
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11a294_1_2eb7f89b"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11a294_1_2eb7f89b